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Semi-classical trace formulas and heat expansions (1103.4461v3)

Published 23 Mar 2011 in math-ph, math.MP, and math.SP

Abstract: in the paper [Journal of Physics A, 43474-0288 (2011)], B. Helffer and R. Purice compute the second term of a semi-classical trace formula for a Schr\"odinger operator with magnetic field. We show how to recover their formula by using the methods developped by the geometers in the seventies for the heat expansions.

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